A Leonov Function for Almost Global ...
Document type :
Communication dans un congrès avec actes
Title :
A Leonov Function for Almost Global Synchronization Conditions in Acyclic Networks of Heterogeneous Kuramoto Oscillators
Author(s) :
Mercado Uribe, José Ángel [Auteur]
Brandenburg University of Technology [Cottbus – Senftenberg] [BTU]
Mendoza-Avila, Jesús [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Schiffer, Johannes [Auteur]
Brandenburg University of Technology [Cottbus – Senftenberg] [BTU]
Brandenburg University of Technology [Cottbus – Senftenberg] [BTU]
Mendoza-Avila, Jesús [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Schiffer, Johannes [Auteur]
Brandenburg University of Technology [Cottbus – Senftenberg] [BTU]
Conference title :
IFAC 2023 - 22nd IFAC World Congress
City :
Yokohama
Country :
Japon
Start date of the conference :
2023-07-09
Publication date :
2023-07-09
English keyword(s) :
Coupled oscillators
Kuramoto model
Synchronization
Complex networks
Nonlinear analysis
Kuramoto model
Synchronization
Complex networks
Nonlinear analysis
HAL domain(s) :
Informatique [cs]/Automatique
English abstract : [en]
Sufficient conditions for almost global synchronization in acyclic networks of Kuramoto oscillators with heterogeneous coupling strengths and natural frequencies are presented. The result is established by employing the ...
Show more >Sufficient conditions for almost global synchronization in acyclic networks of Kuramoto oscillators with heterogeneous coupling strengths and natural frequencies are presented. The result is established by employing the recently developed Leonov function framework for systems whose dynamics are periodic for all state variables. The synchronization property is accompanied by necessary and sufficient conditions to guarantee the existence of equilibria. The implications of these conditions on the network topology, the oscillator's coupling strengths and natural frequencies are discussed. Finally, the results are illustrated via a numerical example.Show less >
Show more >Sufficient conditions for almost global synchronization in acyclic networks of Kuramoto oscillators with heterogeneous coupling strengths and natural frequencies are presented. The result is established by employing the recently developed Leonov function framework for systems whose dynamics are periodic for all state variables. The synchronization property is accompanied by necessary and sufficient conditions to guarantee the existence of equilibria. The implications of these conditions on the network topology, the oscillator's coupling strengths and natural frequencies are discussed. Finally, the results are illustrated via a numerical example.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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